Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development How-TOs Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers not in school. See Site Map

Logic 5 Chapters Arithmetic 10 Steps Algebra 12 Starter Steps & 5 Advanced Steps
Work & Study 23 Tips Geometry 15 Steps Calculus 70 Lessons

Ages 15+: Why study slopes Polynomials Quadratics Why factor polynomials Logarithms Functions
What is similarity Euclidean geometry leanly Coordinates + complex no.s Vectors DC Electric Circuits
Ages 12+: Prime factorization Written work formats Decimal place value Extend arithmetic skills orally
What is a variable 5. Fraction Operations by Raising Terms Solving Linear Equations: Take I Take II


Online Volumes: 1 - Elements of Reason, 2 - 3 Skills For Algebra, 3 - Why Slopes and
More Math
, 1A - Pattern Based Reason, 1B - Skill Development Principles + Troubles

Welcome: Site content may develop critical thinking, improve reading and writing, and build mathematics skills. See online chapters on on logic and pattern based reason.

Teachers: This December 2011, 5-phase framework offers a context for mathematics & logic instruction. Phases 1 to 3 focus on skills with actual or potential value for adult & daily life. College-oriented phases 5 & 4 focus on calculus & preparation for it. Phases 1 to 4 may also serve trades & professions not dependent on calculus.

Site Review: Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation for high school and college ... mathematics. Read more.

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  1.    wt: 4:   13 Vectors/
  2.    wt: 3:   14 Degrees to Radians and Radians to Degrees/
  3.    wt: 2:   Parent Center/
  4.    wt: 1:   LAMP Lean Applied Mathematics Program/
  5.    wt: 1:   Progressive Observable Motivated Mathematics Education/
  6.    wt: 1:   Mathematics Education Essays/
  7.    wt: 1:   Mathematics Skills Year by Year/
  8.    wt: 1:   5 Factored Polynomial Sign Analysis Examples/
  9.    wt: 1:   15 Arc or Inverse Trigonometric Function/
  10.    wt: 1:   12 Function Translating and Rescaling/
  11.    wt: 1:   11 Parallel Straight Lines and Transversals/
  12.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  13.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  14.    wt: 1:   8 Unit Circle Trigonometry/
  15.    wt: 1:   7 Complex Numbers/
  16.    wt: 1:   6 Trigonometry first steps/
  17.    wt: 1:   5 What is Similarity/
  18.    wt: 1:   4 Lines and Slopes Take 1/
  19.    wt: 1:   3 Cartesian and Polar Coordinates/
  20.    wt: 1:   2 Euclidean Geometry Constructions Theory extras/
  21.    wt: 1:   1 Maps Plans Measurement/
  22.    wt: 1:   Geometry maps plans trigonometry vectors/
  23.    wt: 1:   9 Combinatorics Trees Tables and Products/
  24.    wt: 1:   3 Prime Factorization Skills/
  25.    wt: 1:   13 Lessons on Limits and Continuity/
  26.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  27.    wt: 1:   Mathematics 506 Lessons/
  28.    wt: 1:   Secondary Mathematics A Practical Approach/
  29.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/
  30.    wt: 1:   Mathematics Skill Development Framework/

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208 matches:

  1.    wt: 4:   13 From one to one to many to one
  2.    wt: 3:   04 25 when to stop or suspend mathemat
  3.    wt: 2:   How to be a better instructor
  4.    wt: 2:   words for mathematics instructor
  5.    wt: 2:   22 Student Centered Highschool Mathematics
  6.    wt: 2:   17 Math Booklets for children and young teenagers
  7.    wt: 2:   Ages 12 to 14 Skills with take home value
  8.    wt: 2:   Ages 12 to 14 Geometry
  9.    wt: 2:   Ages 12 to 14 Arithmetic
  10.    wt: 2:   Ages 10 to 12 Geometry
  11.    wt: 2:   Ages 10 to 12 Arithmetic
  12.    wt: 2:   Ages 9 to 10
  13.    wt: 2:   Ages 8 to 9
  14.    wt: 2:   Ages 7 to 8
  15.    wt: 2:   Ages 6 to 7
  16.    wt: 2:   Ages 4 plus to 5 plus
  17.    wt: 2:   Ages 3 plus to 4 plus
  18.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  19.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  20.    wt: 2:   8 Notes for instructors or tutors
  21.    wt: 2:   4 Circle Sector Area proportional to Central Angle
  22.    wt: 2:   13 Velocity Vectors in Physics
  23.    wt: 2:   12 From Applied To Pure Mathematics
  24.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  25.    wt: 2:   5 Drawing to Scale Avoids Angle Distortions
  26.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  27.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  28.    wt: 2:   13 Arrows and Vectors in a Plane
  29.    wt: 2:   13 GCD from given Prime Factorization
  30.    wt: 2:   18 video Count Factors given Prime Factorization
  31.    wt: 2:   15 video Factors of 20 using Prime Factorization
  32.    wt: 2:   13 video Factors of 24 using prime
  33.    wt: 2:   10 video Prime Factorization upto 23 squared
  34.    wt: 2:   9 video Prime Factorization upto 19 squared
  35.    wt: 2:   8 video Prime Factorization upto 19
  36.    wt: 2:   Appendix E. How To Study Mathematics and Why
  37.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  38.    wt: 2:   A. Skill has to be seen to believed
  39.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  40.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  41.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  42.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  43.    wt: 1:   Appendix 1 primary and preschool mathematic
  44.    wt: 1:   E LAMP Introduction Modern Mathematics
  45.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  46.    wt: 1:   11 pure mathematics
  47.    wt: 1:   9 combinatorics probability sets
  48.    wt: 1:   which way to go
  49.    wt: 1:   three goals to set for students
  50.    wt: 1:   Math Ed if it must be short make it lean effective
  51.    wt: 1:   Applied Maths Program14092009 POMME variant
  52.    wt: 1:   Mathematics Education Professors
  53.    wt: 1:   grouping students according to ability
  54.    wt: 1:   mathematics in context
  55.    wt: 1:   Secondary Three Mathematics
  56.    wt: 1:   Secondary Two Mathematics
  57.    wt: 1:   Secondary One Mathematics
  58.    wt: 1:   What to Tell Students
  59.    wt: 1:   mathematics curriculum shifts
  60.    wt: 1:   teaching tutoring algebraic reason
  61.    wt: 1:   three goals for Mathematics Education
  62.    wt: 1:   05 13 OldSiteEntrancePage
  63.    wt: 1:   04 29 New Mathematics Curriculum
  64.    wt: 1:   02 20 mathematics education references
  65.    wt: 1:   three aims for mathematics students
  66.    wt: 1:   Operational Viewpoint to Value
  67.    wt: 1:   mathematics instruction in general
  68.    wt: 1:   Education in mathematics science and technology
  69.    wt: 1:   Different Kinds of Reasoning in maths
  70.    wt: 1:   three kinds of reason in mathematics
  71.    wt: 1:   Four ways to improve education reform
  72.    wt: 1:   need for a mixed mathematics curriculum
  73.    wt: 1:   Leaner mathematics curriculum
  74.    wt: 1:   chapitre 07 01 principle D induction mathematique
  75.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  76.    wt: 1:   3 Like resistors in parallel
  77.    wt: 1:   2 Unlike resistors in parallel01
  78.    wt: 1:   1 Like resistors in series
  79.    wt: 1:   F Unlike Resistors in Series
  80.    wt: 1:   Home Tutoring and Home Schooling
  81.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  82.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  83.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  84.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  85.    wt: 1:   18 Primary School Mathematics
  86.    wt: 1:   16 Secondary Mathematics Tips
  87.    wt: 1:   13 Addition and Addition Tables
  88.    wt: 1:   12 Goals and Objectives For Mathematics
  89.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  90.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  91.    wt: 1:   4 Function notation in and beyond mathematics
  92.    wt: 1:   3 quadratics factoring by inspection
  93.    wt: 1:   5 Natural Logarithm Calculator Exercises
  94.    wt: 1:   1 Calculator Starter Exercises
  95.    wt: 1:   13 cosecant function Definition Graph and Inverse
  96.    wt: 1:   9 Summary Degrees to Radians and back
  97.    wt: 1:   6 Radian Measure to Degrees
  98.    wt: 1:   5 Degrees to Radian Measure
  99.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  100.    wt: 1:   9 Head to Tail Coordinate View
  101.    wt: 1:   8 Parallel Vectors
  102.    wt: 1:   6 Vectors with Coordinates
  103.    wt: 1:   5 Head To Tail Arrow Addition
  104.    wt: 1:   3 Navigation with Arrows or Vectors
  105.    wt: 1:   Vector and Complex Number Applet
  106.    wt: 1:   Triangle Angles Sum To 180 Degrees
  107.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  108.    wt: 1:   13 Graph of tangent function many periods
  109.    wt: 1:   13 Trig Formulas for dot and cross Products
  110.    wt: 1:   7 Second Way to Calculate Products
  111.    wt: 1:   7 Exercises to test skill and concept mastery
  112.    wt: 1:   13 Pythagorean spatial distance formulas
  113.    wt: 1:   4 Polar Coordinates to and from
  114.    wt: 1:   17 Right Bisectors of Triangle Sides
  115.    wt: 1:   13 Angle Side Angle Failure
  116.    wt: 1:   10 Dropping a perpendicular to line
  117.    wt: 1:   9 Construction of a right bisector
  118.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  119.    wt: 1:   6 Figuring with Maps Not to Scale
  120.    wt: 1:   4 Angles on Maps Plans drawn to scale
  121.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  122.    wt: 1:   21 Addition of Multiples of a Single Vector
  123.    wt: 1:   19 Signed Multiples of Vectors
  124.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  125.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  126.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  127.    wt: 1:   15 Head to Tails in place Addition Associative
  128.    wt: 1:   13 Real Number Subtraction
  129.    wt: 1:   13 Naming Identifying Formulas with Words
  130.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  131.    wt: 1:   4 A Brief Story of numbers and algebra
  132.    wt: 1:   3 Adding Words To Arithmetic
  133.    wt: 1:   7 GCD and LCM from prime factorization
  134.    wt: 1:   19 Dividing Fractions How TO
  135.    wt: 1:   18 Efficient Ways to Multiply
  136.    wt: 1:   17 Efficient Ways to Add and Subtract
  137.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  138.    wt: 1:   14 Adding and Subtracting with Like Denominators
  139.    wt: 1:   13 Fraction Comparison Algebraic View
  140.    wt: 1:   13 Subtraction with Additive Inverse
  141.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  142.    wt: 1:   20 Uniqueness of Prime Factorization
  143.    wt: 1:   19 video Prime Factorization Unique
  144.    wt: 1:   17 Identify and Count Factors using Primes
  145.    wt: 1:   16 video Factors of 980 using prime
  146.    wt: 1:   14 video Factors of 24 Take II
  147.    wt: 1:   7 Calculator Usage Notes and Cautions
  148.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  149.    wt: 1:   5 Prime Factorization and a Square Rule
  150.    wt: 1:   4 video Prime Factorization Introduction
  151.    wt: 1:   1 video how Products are bigger than factor
  152.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  153.    wt: 1:   8 What skills and work habits to require
  154.    wt: 1:   5. How to add decimals C. Examples
  155.    wt: 1:   4. How to add with decimals B with conversions
  156.    wt: 1:   3. How to add with decimals A sans conversions
  157.    wt: 1:   Quick history of numbers and algebra
  158.    wt: 1:   Formula Evaluation how to show work
  159.    wt: 1:   Expression Evaluation how to show work
  160.    wt: 1:   013 Travel Time Tables
  161.    wt: 1:   8 Addition of Time Intervals via subtotaling
  162.    wt: 1:   1 Intro of Kids To Time Date Skills
  163.    wt: 1:   13 sine and cosine derivatives 1st step
  164.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  165.    wt: 1:   D2 Limits of Monotone Sequences
  166.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  167.    wt: 1:   Chapter 23 Links To Trigonometry
  168.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  169.    wt: 1:   Chapter 13. Acceleration
  170.    wt: 1:   Appendix D. What to do in School and Why
  171.    wt: 1:   Appendix C. How to Read
  172.    wt: 1:   Appendix B. How To Learn
  173.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  174.    wt: 1:   Chapter 25. Mathematical Induction Examples
  175.    wt: 1:   Chapter 13. Second Reading Guide
  176.    wt: 1:   Annotated Links to Material Elsehwere
  177.    wt: 1:   Postscript B Mathematics Education References
  178.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  179.    wt: 1:   Chapter 2 For and Against Mathematics
  180.    wt: 1:   Postscript C Consistency as a Tool for Reason
  181.    wt: 1:   Postscript B More on Story Telling and Reason
  182.    wt: 1:   Postscript A Story Telling
  183.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  184.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  185.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  186.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  187.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  188.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  189.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  190.    wt: 1:   S Adding words to algebra
  191.    wt: 1:   R Why Learn Mathematics Skills
  192.    wt: 1:   O On Learning Mathematics and Science
  193.    wt: 1:   N Mathematics Prepare for College Studies
  194.    wt: 1:   M Words to extend arithmetic
  195.    wt: 1:   H more Routine to non routine problem solving
  196.    wt: 1:   F. The student teacher tutor feedback loop
  197.    wt: 1:   E. When and how to correct errors
  198.    wt: 1:   How to Build Skills and Confidence
  199.    wt: 1:   Chapter 8 Skipped Topics and Why
  200.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  201.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  202.    wt: 1:   Helping the Blind in Logic and Mathematics
  203.    wt: 1:   Mathematics Education References
  204.    wt: 1:   Mathematics Education References
  205.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  206.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  207.    wt: 1:   Which Way To Go
  208.    wt: 1:   The Math Forum and Site Content

Extended Search

552 matches:

  1.    wt: 7:   13 Velocity Vectors in Physics
  2.    wt: 6:   12 From Applied To Pure Mathematics
  3.    wt: 5:   13 From one to one to many to one
  4.    wt: 5:   4 Circle Sector Area proportional to Central Angle
  5.    wt: 5:   9 Head to Tail Coordinate View
  6.    wt: 5:   8 Parallel Vectors
  7.    wt: 5:   6 Vectors with Coordinates
  8.    wt: 5:   5 Head To Tail Arrow Addition
  9.    wt: 5:   3 Navigation with Arrows or Vectors
  10.    wt: 5:   Vector and Complex Number Applet
  11.    wt: 4:   04 25 when to stop or suspend mathemat
  12.    wt: 4:   22 Student Centered Highschool Mathematics
  13.    wt: 4:   17 Math Booklets for children and young teenagers
  14.    wt: 4:   13 Addition and Addition Tables
  15.    wt: 4:   9 Summary Degrees to Radians and back
  16.    wt: 4:   6 Radian Measure to Degrees
  17.    wt: 4:   5 Degrees to Radian Measure
  18.    wt: 4:   3 Circle Arclengh Proportional to Central Angle
  19.    wt: 4:   A Global Time and Navigation
  20.    wt: 4:   15 Dot and Cross Product
  21.    wt: 4:   14 Why Scalar Multiplication Distributes Physical Argument
  22.    wt: 4:   11 Component Method
  23.    wt: 4:   10 Parallelogram Addition Method
  24.    wt: 4:   7 Coordinate Addition and Scalar Multiplication
  25.    wt: 4:   4 Resultant of a Sum of Movements
  26.    wt: 4:   2 Signed Coordinates
  27.    wt: 4:   1 Unsigned Coordinates
  28.    wt: 4:   13 Navigation Location from Angles to 2 Landmarks
  29.    wt: 4:   13 video Factors of 24 using prime
  30.    wt: 3:   How to be a better instructor
  31.    wt: 3:   words for mathematics instructor
  32.    wt: 3:   Home Tutoring and Home Schooling
  33.    wt: 3:   25 Mathematics Education Leaving A Good Impression
  34.    wt: 3:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  35.    wt: 3:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  36.    wt: 3:   19 Extending the Oral Dimension of Mathematics
  37.    wt: 3:   18 Primary School Mathematics
  38.    wt: 3:   16 Secondary Mathematics Tips
  39.    wt: 3:   12 Goals and Objectives For Mathematics
  40.    wt: 3:   Ages 12 to 14 Skills with take home value
  41.    wt: 3:   Ages 12 to 14 Geometry
  42.    wt: 3:   Ages 12 to 14 Arithmetic
  43.    wt: 3:   Ages 10 to 12 Geometry
  44.    wt: 3:   Ages 10 to 12 Arithmetic
  45.    wt: 3:   Ages 9 to 10
  46.    wt: 3:   Ages 8 to 9
  47.    wt: 3:   Ages 7 to 8
  48.    wt: 3:   Ages 6 to 7
  49.    wt: 3:   Ages 4 plus to 5 plus
  50.    wt: 3:   Ages 3 plus to 4 plus
  51.    wt: 3:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  52.    wt: 3:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  53.    wt: 3:   8 Radian Measures of Common Angles
  54.    wt: 3:   7 Radian Measures in special Triangles
  55.    wt: 3:   2 Radian Measure Numerical Value of one degree
  56.    wt: 3:   1 Degrees and Radians Introduction
  57.    wt: 3:   32 seven rows of pascals triangle
  58.    wt: 3:   13 Trig Formulas for dot and cross Products
  59.    wt: 3:   13 Pythagorean spatial distance formulas
  60.    wt: 3:   13 Angle Side Angle Failure
  61.    wt: 3:   5 Drawing to Scale Avoids Angle Distortions
  62.    wt: 3:   18 video Count Factors given Prime Factorization
  63.    wt: 3:   15 video Factors of 20 using Prime Factorization
  64.    wt: 3:   10 video Prime Factorization upto 23 squared
  65.    wt: 3:   9 video Prime Factorization upto 19 squared
  66.    wt: 3:   8 video Prime Factorization upto 19
  67.    wt: 3:   Multiple Ways to Improve Mathematics Skill Development
  68.    wt: 3:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  69.    wt: 3:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  70.    wt: 3:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  71.    wt: 2:   Appendix 1 primary and preschool mathematic
  72.    wt: 2:   E LAMP Introduction Modern Mathematics
  73.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  74.    wt: 2:   Ramblings Extrinsic numbers theory
  75.    wt: 2:   Ramblings Introduction Algebra Essay
  76.    wt: 2:   Skills Chapter 3 Algebra
  77.    wt: 2:   11 pure mathematics
  78.    wt: 2:   9 combinatorics probability sets
  79.    wt: 2:   which way to go
  80.    wt: 2:   three goals to set for students
  81.    wt: 2:   Math Ed if it must be short make it lean effective
  82.    wt: 2:   Applied Maths Program14092009 POMME variant
  83.    wt: 2:   Mathematics Education Professors
  84.    wt: 2:   grouping students according to ability
  85.    wt: 2:   mathematics in context
  86.    wt: 2:   Secondary Three Mathematics
  87.    wt: 2:   Secondary Two Mathematics
  88.    wt: 2:   Secondary One Mathematics
  89.    wt: 2:   What to Tell Students
  90.    wt: 2:   mathematics curriculum shifts
  91.    wt: 2:   teaching tutoring algebraic reason
  92.    wt: 2:   three goals for Mathematics Education
  93.    wt: 2:   05 13 OldSiteEntrancePage
  94.    wt: 2:   04 29 New Mathematics Curriculum
  95.    wt: 2:   02 20 mathematics education references
  96.    wt: 2:   three aims for mathematics students
  97.    wt: 2:   Operational Viewpoint to Value
  98.    wt: 2:   mathematics instruction in general
  99.    wt: 2:   Education in mathematics science and technology
  100.    wt: 2:   Different Kinds of Reasoning in maths
  101.    wt: 2:   three kinds of reason in mathematics
  102.    wt: 2:   Four ways to improve education reform
  103.    wt: 2:   need for a mixed mathematics curriculum
  104.    wt: 2:   Leaner mathematics curriculum
  105.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  106.    wt: 2:   24 Standards For Skill Develoment Take II
  107.    wt: 2:   24 Standards For Skill Develoment
  108.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  109.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  110.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  111.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  112.    wt: 2:   15 Counting For Parents
  113.    wt: 2:   14 Multiplication and Times Tables
  114.    wt: 2:   11 Help and Defend Your Child or Teens Education
  115.    wt: 2:   10 Ends values for work study instruction
  116.    wt: 2:   9 Streaming by Student Cooperation
  117.    wt: 2:   8 The Effect of Negative Remarks
  118.    wt: 2:   7 Student Motivation
  119.    wt: 2:   6 Discipline Who is in Charge Conserving Authority
  120.    wt: 2:   5 Patience Please for Yourself and Your Charges
  121.    wt: 2:   4 Learning Takes Time and Effort
  122.    wt: 2:   3 Preparing for Science Studies
  123.    wt: 2:   2 Reading and Writing Skills
  124.    wt: 2:   1 Speaking Skills
  125.    wt: 2:   8 Notes for instructors or tutors
  126.    wt: 2:   13 cosecant function Definition Graph and Inverse
  127.    wt: 2:   3 Left Inverse of cosine arccos definition
  128.    wt: 2:   Triangle Angles Sum To 180 Degrees
  129.    wt: 2:   13 Straight Lines Finding Equations from 2 points
  130.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  131.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  132.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  133.    wt: 2:   31 basic secant cosecant cotangent trig identities
  134.    wt: 2:   15 sine cosine Complementary Angle Relations
  135.    wt: 2:   13 Graph of tangent function many periods
  136.    wt: 2:   7 Second Way to Calculate Products
  137.    wt: 2:   6 Geometric Diagrams in Class
  138.    wt: 2:   3 Similarity by Design with coordinates
  139.    wt: 2:   7 Exercises to test skill and concept mastery
  140.    wt: 2:   4 Polar Coordinates to and from
  141.    wt: 2:   17 Right Bisectors of Triangle Sides
  142.    wt: 2:   10 Dropping a perpendicular to line
  143.    wt: 2:   9 Construction of a right bisector
  144.    wt: 2:   8 More Use of Maps Not Drawn to Scale
  145.    wt: 2:   6 Figuring with Maps Not to Scale
  146.    wt: 2:   4 Angles on Maps Plans drawn to scale
  147.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  148.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  149.    wt: 2:   13 Arrows and Vectors in a Plane
  150.    wt: 2:   13 GCD from given Prime Factorization
  151.    wt: 2:   20 Uniqueness of Prime Factorization
  152.    wt: 2:   19 video Prime Factorization Unique
  153.    wt: 2:   17 Identify and Count Factors using Primes
  154.    wt: 2:   16 video Factors of 980 using prime
  155.    wt: 2:   14 video Factors of 24 Take II
  156.    wt: 2:   7 Calculator Usage Notes and Cautions
  157.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  158.    wt: 2:   5 Prime Factorization and a Square Rule
  159.    wt: 2:   4 video Prime Factorization Introduction
  160.    wt: 2:   1 video how Products are bigger than factor
  161.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  162.    wt: 2:   Chapter 13. Acceleration
  163.    wt: 2:   Appendix E. How To Study Mathematics and Why
  164.    wt: 2:   Chapter 13. Second Reading Guide
  165.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  166.    wt: 2:   Annotated Links to Material Elsehwere
  167.    wt: 2:   Postscript B Mathematics Education References
  168.    wt: 2:   Postscript A Three Remarks
  169.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  170.    wt: 2:   Chapter 2 For and Against Mathematics
  171.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  172.    wt: 2:   M Words to extend arithmetic
  173.    wt: 2:   A. Skill has to be seen to believed
  174.    wt: 2:   Chapter 8 Skipped Topics and Why
  175.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  176.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  177.    wt: 2:   Helping the Blind in Logic and Mathematics
  178.    wt: 2:   Mathematics Education References
  179.    wt: 2:   Mathematics Education References
  180.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  181.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  182.    wt: 2:   Which Way To Go
  183.    wt: 1:   Appendix 2 primary school Arithmetic 01
  184.    wt: 1:   K LAMP Musings Science Education
  185.    wt: 1:   J LAMP Introduction Extrinsic Origins
  186.    wt: 1:   I LAMP Introduction Study Habits
  187.    wt: 1:   H LAMP Introduction Instructional Concepts
  188.    wt: 1:   G LAMP Introduction Problem Solving Skills
  189.    wt: 1:   F LAMP Introduction Prerequisites
  190.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  191.    wt: 1:   A Introduction Objectives
  192.    wt: 1:   Skills Chapter 5 Calculus
  193.    wt: 1:   Skills Chapter 4 Logic
  194.    wt: 1:   Skills Chapter 2 Geometry
  195.    wt: 1:   Skills Chapter 1 Arithmetic
  196.    wt: 1:   Skills Chapter 0 Introduction
  197.    wt: 1:   10 statistics
  198.    wt: 1:   8 analytic geometry etc
  199.    wt: 1:   7 logic review and decimals an odd combination
  200.    wt: 1:   6 polynomials etc
  201.    wt: 1:   5 logarithms and exponentials etc
  202.    wt: 1:   4 algebra
  203.    wt: 1:   3 Euclidean Geometry Leanly
  204.    wt: 1:   2 arithmetic with signed numbers
  205.    wt: 1:   1 arithmetic with unsigned numbers
  206.    wt: 1:   What is POMME
  207.    wt: 1:   why bother
  208.    wt: 1:   website reviews
  209.    wt: 1:   Teach the teachers plus goals
  210.    wt: 1:   permissions for teachers
  211.    wt: 1:   activities for students
  212.    wt: 1:   links Education Resources online
  213.    wt: 1:   site origins
  214.    wt: 1:   site eurekas
  215.    wt: 1:   About site lesson plans
  216.    wt: 1:   key notes and themes
  217.    wt: 1:   teacher certification
  218.    wt: 1:   modern education
  219.    wt: 1:   learning takes time
  220.    wt: 1:   what should be learnt and When
  221.    wt: 1:   Postscript 2007 01 10
  222.    wt: 1:   Education Reform Inconsistencies
  223.    wt: 1:   five decades make a difference
  224.    wt: 1:   Maps Plans Drawings
  225.    wt: 1:   how letters appear
  226.    wt: 1:   talk the algebra talk
  227.    wt: 1:   three difficulties
  228.    wt: 1:   teaching tips
  229.    wt: 1:   geometric implications for algebra
  230.    wt: 1:   Lessening Algebra Difficulties
  231.    wt: 1:   the trouble with algebra
  232.    wt: 1:   02 21 words for teachers
  233.    wt: 1:   standards for course material
  234.    wt: 1:   formal or informal peer review
  235.    wt: 1:   Theory of Knowledge
  236.    wt: 1:   cultivating intelligence
  237.    wt: 1:   Motivation and Context Problem
  238.    wt: 1:   Prequel In For A Penny In For A Pound
  239.    wt: 1:   education an empirical art
  240.    wt: 1:   fairness and inductive principles for instruction
  241.    wt: 1:   chapitre 07 01 principle D induction mathematique
  242.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  243.    wt: 1:   A Wire Resistance Qualitative01
  244.    wt: 1:   3 Like resistors in parallel
  245.    wt: 1:   2 Unlike resistors in parallel01
  246.    wt: 1:   1 Like resistors in series
  247.    wt: 1:   F Unlike Resistors in Series
  248.    wt: 1:   sign monoticity analysis example 4
  249.    wt: 1:   sign monoticity analysis example 3
  250.    wt: 1:   sign monoticity analysis example 2
  251.    wt: 1:   sign monoticity analysis example 1
  252.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  253.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  254.    wt: 1:   4 Function notation in and beyond mathematics
  255.    wt: 1:   3 quadratics factoring by inspection
  256.    wt: 1:   5 Natural Logarithm Calculator Exercises
  257.    wt: 1:   1 Calculator Starter Exercises
  258.    wt: 1:   16 cotangent function Definition Graph and Inverse
  259.    wt: 1:   15 cosecant function Definition Graph and Inverse
  260.    wt: 1:   14 secant function Definition Graph and Inverse
  261.    wt: 1:   12 motivation for term arctan
  262.    wt: 1:   11 arctan left inverse of tangent Graph
  263.    wt: 1:   10 arctan left inverse of tangent Definition
  264.    wt: 1:   9 motivation for name arcsin
  265.    wt: 1:   8 arcsin left inverse of sine Graph
  266.    wt: 1:   7 arcsin left inverse of sine Definition
  267.    wt: 1:   6 Graph of arccos function
  268.    wt: 1:   5 Swapping Coordinates is a reflection
  269.    wt: 1:   4 possible motivation for term arccos
  270.    wt: 1:   2 cosine function more properties
  271.    wt: 1:   1 cosine function properties
  272.    wt: 1:   4 graphing y=Asin(x c)
  273.    wt: 1:   3 graphing y=f(x c) plus K
  274.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  275.    wt: 1:   1 graphing y=f(x a)
  276.    wt: 1:   Parallel Lines and Parallel Transversals
  277.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  278.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  279.    wt: 1:   Parallel Lines and Interior Angles
  280.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  281.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  282.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  283.    wt: 1:   Straight Lines ASA Intersection Study More
  284.    wt: 1:   Straight Lines ASA Intersection Study
  285.    wt: 1:   Straight Lines Instersection Solving Equations
  286.    wt: 1:   Straight Lines Intersection of
  287.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  288.    wt: 1:   C Straight Lines Slope from Coordinates
  289.    wt: 1:   B Straight Line Slope Scaling Properties More
  290.    wt: 1:   A Straight Line Slope Scaling Properties
  291.    wt: 1:   14 Straight Lines Equations General Case
  292.    wt: 1:   12 Straight Lines Graphing mx plus b
  293.    wt: 1:   11 Straight Lines Graphing y=mx
  294.    wt: 1:   10 Straight Lines through Origin Equations More
  295.    wt: 1:   9 Straight Lines through Origin Equations
  296.    wt: 1:   8 Straight Lines Equation for vertical
  297.    wt: 1:   7 Tangent Function is odd on this domain
  298.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  299.    wt: 1:   5 Tangent Function Graph
  300.    wt: 1:   4 Tangent Function Properties
  301.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  302.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  303.    wt: 1:   1 Straight Lines Slope Concept
  304.    wt: 1:   17 tangent function angle sum formulas
  305.    wt: 1:   30 unit circle calculation of six trigonometric functions
  306.    wt: 1:   29 secant cosecant and cotangent for acute angles
  307.    wt: 1:   28 Expressing products of sines cosines as sums
  308.    wt: 1:   27 Logarithmic use of products of sines and cosines
  309.    wt: 1:   26 Formulas for products of sines and cosines
  310.    wt: 1:   25 tangent double angle formula Slope connection
  311.    wt: 1:   24 tangent Angle Difference Formula
  312.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  313.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  314.    wt: 1:   21 sine and cosine Half Angle Formulas
  315.    wt: 1:   20 sine and cosine Double Angle Formulas
  316.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  317.    wt: 1:   18 sum of sinusoidal waves as a single wave
  318.    wt: 1:   17G Pythagorean Theorem Converse
  319.    wt: 1:   17F Law of cosines
  320.    wt: 1:   17E Trig Formulas for dot and cross Products
  321.    wt: 1:   17D cis formulas for sine cosines and tangent
  322.    wt: 1:   17C sine and cosine double triple angle formulas
  323.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  324.    wt: 1:   17A The complex number valued trig function cis
  325.    wt: 1:   16 Right Triangle Complementary Angle Relations
  326.    wt: 1:   14 cosine even and sine and tangent are odd
  327.    wt: 1:   12 Graph of tangent function for one period
  328.    wt: 1:   11 tangent function undefined when terminal side vertical
  329.    wt: 1:   10 Graphs of sines and cosines many periods
  330.    wt: 1:   9 Graphs of sine and cosine over one period
  331.    wt: 1:   8 period of tangent function
  332.    wt: 1:   7 period of sine and cosine
  333.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  334.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  335.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  336.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  337.    wt: 1:   2 Quadrant I reference Angles
  338.    wt: 1:   1 Unit Points Reflections Rotations
  339.    wt: 1:   Unit Circle Development of Trigonometry
  340.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  341.    wt: 1:   21 Logarithms Powers and Exponentials
  342.    wt: 1:   20 N th Roots of Complex Numbers
  343.    wt: 1:   19 N th Roots of Unity
  344.    wt: 1:   18 Sixth Roots of Unity
  345.    wt: 1:   17 Cube Roots of unity
  346.    wt: 1:   16 References and Originality Question
  347.    wt: 1:   15 Pythagorean Theorem Converse
  348.    wt: 1:   14 Law of cosines
  349.    wt: 1:   12 cis formulas for sine cosines and tangent
  350.    wt: 1:   11 sine and cosine double triple angle formulas
  351.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  352.    wt: 1:   9 The complex number valued trig function cis
  353.    wt: 1:   8 Unit Circle Development of Trigonometry
  354.    wt: 1:   6 Field Properties of Complex Number
  355.    wt: 1:   5 An Easy Proof of the Distributive Law
  356.    wt: 1:   4 Multiplication Properties
  357.    wt: 1:   3 Addition Properties
  358.    wt: 1:   2 Complex Numbers made easier we hope
  359.    wt: 1:   1 Rectangular Polar Coordinates Review
  360.    wt: 1:   Appetizer A Complex Number Applet
  361.    wt: 1:   8 Triangles Cascade Problem Solving
  362.    wt: 1:   7 Trignometric Ratios Unit Circle
  363.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  364.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  365.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  366.    wt: 1:   3 Trigonometric Ratios sine and cosine
  367.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  368.    wt: 1:   1 Angle Measurement with Degrees
  369.    wt: 1:   Why Trigonometry the whyslopes view
  370.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  371.    wt: 1:   12 Triangles Similarity More Problems
  372.    wt: 1:   11 Triangle Similarity Missing Side Problem
  373.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  374.    wt: 1:   9 Similarity of Triangles Usual Criteria
  375.    wt: 1:   8 Similarity of Triangles and Polygons
  376.    wt: 1:   7 Translations Rotations Reflections Dilatations
  377.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  378.    wt: 1:   4 Similarity Definition with Coordinate
  379.    wt: 1:   2 Similarity By Design
  380.    wt: 1:   1 Early Concept of Like or Similar Shapes
  381.    wt: 1:   Four Simple Exercises
  382.    wt: 1:   12 Links Lessons elsewhere
  383.    wt: 1:   11 A Partial Summary
  384.    wt: 1:   10 Midpoint of [a b] and [b a]
  385.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  386.    wt: 1:   8 Mid Point Formula
  387.    wt: 1:   6 Intersection of lines by solving linear systems
  388.    wt: 1:   5 Algebraic View of Slopes
  389.    wt: 1:   4 Equations for lines three forms
  390.    wt: 1:   3 Slope product for perpendicular lines
  391.    wt: 1:   2 point slope equation for a line
  392.    wt: 1:   1 Numerical view of lines and their equations
  393.    wt: 1:   What is and is not here
  394.    wt: 1:   12 Spatial Coordinates
  395.    wt: 1:   11 Triangle Inequality
  396.    wt: 1:   10 Pythagorean plane distance formula
  397.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  398.    wt: 1:   8 Distance Between Points on a Line
  399.    wt: 1:   7 Complex Numbers Appetizer
  400.    wt: 1:   6 Polar Multiplication and Rotation
  401.    wt: 1:   5 Cartesian Addition and Translation
  402.    wt: 1:   3 Rectangular Coordinates Review
  403.    wt: 1:   2 Cartesian Coordinates with signs
  404.    wt: 1:   1 Cartesian Coordinates sans signs
  405.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  406.    wt: 1:   PS H Distributive Law For Complex Numbers
  407.    wt: 1:   PS G Rotation Distributes over Addition
  408.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  409.    wt: 1:   PS E Multiplication with Polar Coordinates
  410.    wt: 1:   PS D Addition with Cartesian Coordinates
  411.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  412.    wt: 1:   PS B Parallelogram Construction Methods
  413.    wt: 1:   PS A Kite Construction Methods
  414.    wt: 1:   21 Parallelograms
  415.    wt: 1:   19 Right Triangle Similarity
  416.    wt: 1:   18 Triangle Similarity Take 1
  417.    wt: 1:   16 Angles Subtended By Chords and Diameters
  418.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  419.    wt: 1:   14 Parallel Lines Postulate
  420.    wt: 1:   12 Side Angle Side Failure
  421.    wt: 1:   11 Triangle Construction Fails
  422.    wt: 1:   8 Isoceles Triangles
  423.    wt: 1:   7 Angle Side Angle
  424.    wt: 1:   6 Ruler and compass Angle Bisection
  425.    wt: 1:   5 Side Angle Side
  426.    wt: 1:   4 Side Side Side
  427.    wt: 1:   3 Isometry of Triangles Congruence
  428.    wt: 1:   2 Correspondence between Triangles
  429.    wt: 1:   1 Initial Concepts and Terms
  430.    wt: 1:   Short Course on Euclidean Geometry
  431.    wt: 1:   A Measurement with Ruler Proper Use
  432.    wt: 1:   3 Lengths and Areas on Maps and Plans
  433.    wt: 1:   2 Measuring Area Directly
  434.    wt: 1:   1 Length Measurement
  435.    wt: 1:   About Folder Contents
  436.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  437.    wt: 1:   21 Addition of Multiples of a Single Vector
  438.    wt: 1:   19 Signed Multiples of Vectors
  439.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  440.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  441.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  442.    wt: 1:   15 Head to Tails in place Addition Associative
  443.    wt: 1:   13 Real Number Subtraction
  444.    wt: 1:   13 Naming Identifying Formulas with Words
  445.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  446.    wt: 1:   4 A Brief Story of numbers and algebra
  447.    wt: 1:   3 Adding Words To Arithmetic
  448.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  449.    wt: 1:   7 GCD and LCM from prime factorization
  450.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  451.    wt: 1:   4 Counting with Trees Product Rule Take I
  452.    wt: 1:   3 Counting with Tables and Trees II
  453.    wt: 1:   2 Counting with Tables and Trees I
  454.    wt: 1:   1 Counting and Counting Methods I
  455.    wt: 1:   19 Dividing Fractions How TO
  456.    wt: 1:   18 Efficient Ways to Multiply
  457.    wt: 1:   17 Efficient Ways to Add and Subtract
  458.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  459.    wt: 1:   14 Adding and Subtracting with Like Denominators
  460.    wt: 1:   13 Fraction Comparison Algebraic View
  461.    wt: 1:   A Associative Law Theorectical Note
  462.    wt: 1:   13 Subtraction with Additive Inverse
  463.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  464.    wt: 1:   12 LCD GCD and LCM using Primes
  465.    wt: 1:   11 Efficient Square Rule Use
  466.    wt: 1:   3 video Primes and Composites from 9 times table
  467.    wt: 1:   2 Prime and Composites less than 16
  468.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  469.    wt: 1:   8 What skills and work habits to require
  470.    wt: 1:   5. How to add decimals C. Examples
  471.    wt: 1:   4. How to add with decimals B with conversions
  472.    wt: 1:   3. How to add with decimals A sans conversions
  473.    wt: 1:   Quick history of numbers and algebra
  474.    wt: 1:   Formula Evaluation how to show work
  475.    wt: 1:   Expression Evaluation how to show work
  476.    wt: 1:   013 Travel Time Tables
  477.    wt: 1:   8 Addition of Time Intervals via subtotaling
  478.    wt: 1:   1 Intro of Kids To Time Date Skills
  479.    wt: 1:   13 sine and cosine derivatives 1st step
  480.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  481.    wt: 1:   11 Limits at infinity Three Examples
  482.    wt: 1:   10 Three one sided limits with infinite values
  483.    wt: 1:   9 Limits Continuity and Composition
  484.    wt: 1:   8 Four Animated Examples
  485.    wt: 1:   7 Evaluation by immediate or delayed substitution
  486.    wt: 1:   6 Continuity at a point
  487.    wt: 1:   5 Jumps and absence of unlimited error control
  488.    wt: 1:   4 Numerical properties
  489.    wt: 1:   3 Decimal insights for limits continuity convergence
  490.    wt: 1:   2 Algebraic codification
  491.    wt: 1:   1 Numerical introduction
  492.    wt: 1:   F.5a Equicontinuity Theorems
  493.    wt: 1:   D2 Limits of Monotone Sequences
  494.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  495.    wt: 1:   Chapter 23 Links To Trigonometry
  496.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  497.    wt: 1:   Appendix D. What to do in School and Why
  498.    wt: 1:   Appendix C. How to Read
  499.    wt: 1:   Appendix B. How To Learn
  500.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  501.    wt: 1:   Chapter 25. Mathematical Induction Examples
  502.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  503.    wt: 1:   Chapter 12 Four Phases
  504.    wt: 1:   Chapter 11 Elementary Instruction
  505.    wt: 1:   Chapter 10 Transition
  506.    wt: 1:   Chapter 9 The Two Ends
  507.    wt: 1:   Chapter 8 Modern Instruction
  508.    wt: 1:   Chapter 7 Two Treatments of Geometry
  509.    wt: 1:   Chapter 5 Four References
  510.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  511.    wt: 1:   Chapter 3 Algebra Difficulties
  512.    wt: 1:   Chapter 1 Introduction
  513.    wt: 1:   Foreword
  514.    wt: 1:   Postscript C Consistency as a Tool for Reason
  515.    wt: 1:   Postscript B More on Story Telling and Reason
  516.    wt: 1:   Postscript A Story Telling
  517.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  518.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  519.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  520.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  521.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  522.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  523.    wt: 1:   S Adding words to algebra
  524.    wt: 1:   R Why Learn Mathematics Skills
  525.    wt: 1:   O On Learning Mathematics and Science
  526.    wt: 1:   N Mathematics Prepare for College Studies
  527.    wt: 1:   H more Routine to non routine problem solving
  528.    wt: 1:   F. The student teacher tutor feedback loop
  529.    wt: 1:   E. When and how to correct errors
  530.    wt: 1:   How to Build Skills and Confidence
  531.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  532.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  533.    wt: 1:   Chapter 6 More Algebra and Geometry
  534.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  535.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  536.    wt: 1:   Chapter 3 Algebra Starter Lessons
  537.    wt: 1:   Chapter 2 Why Sets
  538.    wt: 1:   Chapter 1 Arithmetic
  539.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  540.    wt: 1:   7 Games and Activities for Instruction
  541.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  542.    wt: 1:   5 Interpreting and Drawing Maps and Plans.
  543.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  544.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  545.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  546.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  547.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  548.    wt: 1:   Implementation Notes
  549.    wt: 1:   More Algebra and Slope based Calculus Preview
  550.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  551.    wt: 1:   Systematic Algebra Skill Development Missing Links
  552.    wt: 1:   The Math Forum and Site Content

Teachers, Tutors, Parents: Site material offers better or best practices for mathematics skill building - simpler than expected and comprehensive. Your duty is to study them alone or with help. Start now.

Secondary Mathematics for Ages 11+, A Practical Approach for home-tutoring or -schooling, or for schools & colleges with local curriculum control. Study how to include site content - its skill development how-TOs and innovations into present or future lesson plans - some reading required.

Road Safety Messages and Questions: When and why should you face traffic when walking along a road or cycle path? Is it a good idea to hang limbs outside of cars etc? What gives more protection in a crash: a car, motorbike or bicycle? See too, the BBC-Belgium story Texting and Driving - texting & the impossible test - the article links to a gruesome utube video on the subject

The Logic of Injustice: How Texas sent an innocent man to his death - The wrong Carlos. Some judgments are irreversible. Procescution: Where and when prosectors play to win rather than for justice, guilt beyond a reasonable doubt goes unrespected due to prosecutors who putting winning first, those innocence before the law may be convicted. Some procescutors offices in continuing to accuse after a pardon due to reasonable doubt or innocent being shown, may sucessfully oppose compensaton for false convictions by asserting a pardon individual is still under suspicion. Then the pardoned individual or the latter's estate is not compensation for years or decade of improper or false imprisonment, or for execution. Site chapters on Logic
and some in Pattern Based Reason may slowly lead to greater precision in reading, applying and writing laws.

May 2012, Composition Starting: Pre-School and Primary Mathematics - Quantitative Skills, An Intellectual View, Feedback Welcome:

The 8 Most Popular Site Inlinks

20 Times Table - the most popular site page - popular pages - unexpected.
Fractions & Ratios - with lesson on raising terms to introduce & justify times, division & comparison as well addition & subtraction
Parent Center - See below
Volume 1, Elements of Reason - Intro to all site books.
What is a Variable - best for ages 13+
Written work formats for Arithmetic and Algebra - a skill method and standard!
Complex Numbers Visually - best for ages 13+
Natural Logs, Exponentials, Powers, Roots

Division of Labour: This site offers advice and directions with pointers to resources elsewhere, if known, when they help or lessen the need to write more.

Parent Center: Help your child or teen learn:

Parent-friendly Work Booklets for ages 3+ to 13 Use these or others to check or build skills. Other booklets are available but these booklets allow parents unsure of themselves in mathematics to help their children. The selection acquired in Canada is published in the USA. So it has a US orientation. In retrospect, the selection shows parents what to check with the booklets or by other ways, the choice is theirs. But in retrospect, the selection does not cover integral and fractions liquid weights and measures - ask the publishers to correct that! For ages 9 to 12 say, parents may compensate by showing boys and girls how to use weights or mass, and further measures in food preparation. Beyond that children may be shown how to measure and calculate angles, lengths and areas [proportional amounts too] directly or by using maps and plans drawns to scale. Learning how to gather and measure all the ingredients, pots and pans for a dish or a meal, along with cleaning up sets the stage for like activities or experiments in science courses, and in developing organizational skills, gives boys and girls a head start. Good luck. At the other extreme, more comprehensive than light, if your motto is McCainian: drill, drill, drill then Toronto mathematician and actor John Mighton's jump math organization has jump math workbooks for at least grades 3 to 8 for at-home and in-school use - training sessions for teachers available. Jump math has been expanding to cover older students. Jump Math Samples: plus Fractions for Grades 3-4 & Grades 5-6 [Read] Free Resources grades 1 to 8 [unread - likely to be good]. and

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

Basic skills include time-date-calendar Matters; money matters; map, plan and scale diagram matters;counting, measuring and figuring; decision making with logic and likelyhood; being careful and being aware of the domino effect of mistakes; reading and writing with precision.

Is your child able to add, subtract and multiply amounts of money, work with fractions, work with clocks and calendars, work with maps and plans, and measure length, weight-mass and volume? Schools may promote your son or daughter without providing basic skills in reading, writing and arithmetic.

Arithmetic and Number Theory Skills

Algebra Starter Lessons

1 Working With Sets
2 Formula Forward Use - Evaluation
3 Solving Linear Equations - Skip first step with students able to solve 1 eqn in 1 unknown.
4 Computation Rules and Function Notation
5 Real Numbers
6 More Less Greater Than Inequalities and Comparison
7 Axioms Logic and Equivalent Equations
8 Unifying Theme For Algebra
9 Proportionality Backwards and Forwards
10 Examples of Algebraic Reasoning
A Origins of Counting and Figuring Methods
B Real Numbers Extrinsic Development


Site coverage of formuala evaluation format, of computation rules and axioms, and of the forward and backward use of formulas and proportionality relations lessens the amount of natural talent needed to understand and explain algebra.

Geometry - maps plans trigonometry vectors

1 Maps Plans Measurement
2 Euclidean Geometry - Constructions + extras
3 Cartesian and Polar Coordinates
4 Lines and Slopes Take 1
5 What is Similarity
6 Trigonometry first steps
7 Complex Numbers
8 Unit-Circle Trigonometry
9 Lines and Slopes Take 2 with tangent function
10 Intersecting Straight Lines and Transversals
11 Parallel Straight Lines and Transversals
12 Function Translating and Rescaling
13 Vectors
14 Degrees to Radians and Radians to Degrees
15 Arc or Inverse Trigonometric Function

Pre-Teen and young teen mastery of skills and practices which should be common with map-plans-diagrams drawn to scale, contour interpretation included, has actual or potential take-home value for daily- and adult-life in solving routine problems. Elevating some practices to principles, axioms or postualates, provides a base for analytic and Euclidean geometry, an analytic view of similarity, and an efficient mastery of trigonometry and complex numbers. Right triangle trigonometry provide an analytic alternative to solving geometric problems by drawing diagrams to scale.

More Algebra

Natural-Logarithms Exponentials Powers Roots
Five Polynomial Operations
Quadratics Geometrically
Functions
5 Factored Polynomial Sign Analysis Examples
Rewriting algebraic substitution as function substitutions

The first topic leads to a full high school level theory for the forward and backward mastery of growth and decay models and for definition, range and domains of radicals, roots and powers. The next two topics make quadratics and polynomials easier to learn and teach. Site coverage of functions turns vertical and horizontal line rules into computation methods for evaluating functions.

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

  1. How to Ace Calculus: Street Wise Guide - Mostly Text.

  2. Flash Video for Calculus Phobics

They cover basic topics in ways likely to complement your notes, your textbooks and site material. When Goldilocks trespassed in the house of the three bears, she found three bowls of porridge, two not to her liking, and one just right. Different bears have different tastes. As invited guest here and elsewhere, if one or more explanations is not to liking, try another. It may be better or just right.

Unsolicited Advice

Learning to do and high marks if it comes to easy is often deceptive - light rather than deep. For that reason, students with learning difficulties determined not to let it get in their way may go deeper and farther than those with none. High marks, if the come easy, may be deceptive - provide a too light and not a deep mastery. That could have been your problem in secondary school, one that leads to comprehension shock or difficulties in calculus and more generally in the first year of college. Bon Appetite.


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Logic-Reason for all
Careful Thinking
Chains of Reason
Mathematical Induction
Responsibility
Bodies-of-Knowledge

Arithmetic - Ages 10+
1. Deciml Place Value - fun
2. Decimals for Tutors
3. Prime Factors - quickly
4. Fractions + Ratios
5. Arith with units - science

Geometry
1 Maps + Plans Use
2 Euclidean Geometry
3 Rct +Polr Coordinates
4 Lines-Slopes [I]
5. What is Similarity
Algebra Starters - the base
1. Better Work Format
2. Solve Linear Eqns
3. Computation Rules
4. Axioms, Item 3 Viewpnt
5. Formulas Backwards
More Algebra
Logarithms-ax & m/nth roots
Five Polynomial Operations
Quadratics Geometrically
Functions || Vectors too
Arith. Skill Check+Answers
Calculus Prep/Preview
What is a Variable
Why study slopes
Why factor polynomials
Complex Numbers
Limits + Continuity

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